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With or Without U? - The appropriate test for a U shaped relationship

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  • Lind, Jo Thori
  • Mehlum, Halvor

Abstract

Non-linear relationships are common in economic theory, and such relationships are also frequently tested empirically. We argue that the usual test of non-linear relationships is flawed, and derive the appropriate test for a U shaped relationship. Our test gives the exact necessary and sufficient conditions for the test of a U shape in both finite samples and for a large class of models.

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File URL: http://mpra.ub.uni-muenchen.de/4823/
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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 4823.

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Date of creation: 10 Sep 2007
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Handle: RePEc:pra:mprapa:4823

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Keywords: U shape; hypothesis test; Kuznets curve; Fieller interval;

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  1. Philippe Aghion & Rachel Griffith & Peter Howitt, 2006. "Vertical Integration and Competition," American Economic Review, American Economic Association, vol. 96(2), pages 97-102, May.
  2. Gene M. Grossman & Alan B. Krueger, 1994. "Economic Growth and the Environment," NBER Working Papers 4634, National Bureau of Economic Research, Inc.
  3. Sebnem Kalemli-Ozcan & Bent E. Sorensen & Oved Yosha, 2000. "Risk sharing and industrial specialization ; regional and international evidence," Research Working Paper RWP 00-06, Federal Reserve Bank of Kansas City.
  4. David L. Carr & James R. Markusen & Keith E. Maskus, 2001. "Estimating the Knowledge-Capital Model of the Multinational Enterprise," American Economic Review, American Economic Association, vol. 91(3), pages 693-708, June.
  5. Selden Thomas M. & Song Daqing, 1994. "Environmental Quality and Development: Is There a Kuznets Curve for Air Pollution Emissions?," Journal of Environmental Economics and Management, Elsevier, vol. 27(2), pages 147-162, September.
  6. Philippe Aghion & Nicholas Bloom & Richard Blundell & Rachel Griffith & Peter Howitt, 2002. "Competition and innovation: an inverted U relationship," IFS Working Papers W02/04, Institute for Fiscal Studies.
  7. Imbs, Jean & Wacziarg, Romain, 2000. "Stages of Diversification," CEPR Discussion Papers 2642, C.E.P.R. Discussion Papers.
  8. Chambers, Dustin, 2007. "Trading places: Does past growth impact inequality?," Journal of Development Economics, Elsevier, vol. 82(1), pages 257-266, January.
  9. Terra G. Mckinnish, 2004. "Occupation, Sex-Integration, and Divorce," American Economic Review, American Economic Association, vol. 94(2), pages 322-325, May.
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